Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]-Nanochannels Filled by Hard Spheres of Another Diameter

Jakub W. Narojczyk, Krzysztof W. Wojciechowski, Konstantin V. Tretiakov, Jerzy Smardzewski, Fabrizio Scarpa, Pawel M. Piglowski, Mikolaj Kowalik, A. Imre, Mikolaj Bilski

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Preliminary results on the influence of periodically distributed cylindrical nanoinclusions introduced into the f.c.c. hard sphere crystal on its elastic properties and the Poisson's ratio are presented. The nanoinclusions are oriented along the [001]-direction and filled with hard spheres of diameter different from the spheres forming the matrix crystal. The Monte Carlo simulations show that symmetry of the crystal changes from the cubic to tetragonal one. In the case when spheres inside the inclusion are smaller than spheres forming the crystal, the changes of Poisson's ratio are qualitatively similar to the changes observed earlier in the Yukawa sphere crystal, that is, the introduction of nanochannels causes simultaneous decrease of the Poisson's ratio in the [110][1 (Formula presented.) 0]-direction, and its increase in [110][001]-direction. Filling the nanochannel with spheres having diameters greater than that of the spheres in the crystalline matrix, causes a decrease of the Poisson's ratio value from 0.065 down to −0.365 in [111][11 (Formula presented.)]-direction. The dependence of the minimal Poisson's ratio on the direction of the applied load is shown in a form of surfaces in spherical coordinates, for selected values of nanochannel particle diameters. The most negative value of the Poisson's ratio found amongst all systems studied was as low as −0.873.

Original languageEnglish
Article number1800611
JournalPhysica Status Solidi (B) Basic Research
DOIs
Publication statusAccepted/In press - Jan 1 2018

Fingerprint

Poisson ratio
Crystals
crystals
spherical coordinates
causes
Crystal symmetry
matrices
Loads (forces)
elastic properties
Direction compound
inclusions
Crystalline materials
symmetry
simulation

Keywords

  • auxetics
  • hard inclusions
  • nanochannel
  • negative Poisson's ratio

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Narojczyk, J. W., Wojciechowski, K. W., Tretiakov, K. V., Smardzewski, J., Scarpa, F., Piglowski, P. M., ... Bilski, M. (Accepted/In press). Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]-Nanochannels Filled by Hard Spheres of Another Diameter. Physica Status Solidi (B) Basic Research, [1800611]. https://doi.org/10.1002/pssb.201800611

Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]-Nanochannels Filled by Hard Spheres of Another Diameter. / Narojczyk, Jakub W.; Wojciechowski, Krzysztof W.; Tretiakov, Konstantin V.; Smardzewski, Jerzy; Scarpa, Fabrizio; Piglowski, Pawel M.; Kowalik, Mikolaj; Imre, A.; Bilski, Mikolaj.

In: Physica Status Solidi (B) Basic Research, 01.01.2018.

Research output: Contribution to journalArticle

Narojczyk, Jakub W. ; Wojciechowski, Krzysztof W. ; Tretiakov, Konstantin V. ; Smardzewski, Jerzy ; Scarpa, Fabrizio ; Piglowski, Pawel M. ; Kowalik, Mikolaj ; Imre, A. ; Bilski, Mikolaj. / Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]-Nanochannels Filled by Hard Spheres of Another Diameter. In: Physica Status Solidi (B) Basic Research. 2018.
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